# Worksheet on Math Relation

In worksheet on math relation we will solve different types of questions related to ordered pairs, Cartesian products of two sets, representation of math relation and also domain and range of a relation. Students can recapitulate the examples on math relation and then practice the questions given in the worksheet on math relation to get more ideas.

1. What can you say about the ordered pairs (a, b) and (b, a)?

2. If (x + 2, y - 3) = (4, 3), find the values of x and y.

3. If (x/3 + 1, y - 2/5) = (2, 3/5), find the values of x and y.

4. If A = {p, q, r} and B = {a, b}, find A × B and B × A. Are the two products equal?

5. If A × B = {(a, 1); (a, 2); (b, 1); (b, 2); (c, 1); (c, 2)}, find A and B.

6. If P and Q are two sets, then P × Q consists of 6 elements. If three elements of p × Q are (3, 6); (4, 8); (5, 8), then find P × Q.

7. If P × Q = {(x, 2); (x, 6); (x, 3); (y, 3); (y, 6); (y, 2)}, find Q × P.

8. If A = {1, 2, 3} and B = {4, 5, 6}, state which of the following is a relation from A to B.

(a) R₁ = {(1, 4); (2, 5); (6, 3)}     (b) R₂ = {(2, 5); (3, 6)}

(c) R₃ = {(6, 3); (5, 2); (4, 1)}     (d) R₄ = {(1, 5); (1, 6); (2, 4); (2, 6), (3, 4), (3, 5)}

9. Write the domain and range of the following relations.

(a) R₁ = {(4, 3); (6, 8); (4, 8); (0, 9); (7, 5); (0, 10)}

(b) R₂ = {(a, 2); (b, 3); (c, 2); (a, 3); (d, 4); (b, 4)}

10. Let A = {14, 25, 21, 24} B = {2, 3, 5, 6, 7} be two sets and let R be a relation from A to B ‘is multiple of’.

● Represent the relation as a set of ordered pairs. ● Draw the arrow diagram for the same.

11. Adjoining figure shows a relationship between the set A and B. Write this relation in the roster form. What is its domain and range?

12. In the given ordered pairs (2, 8); (3, 9); (3, 5); (1, 7); (4, 24); (5, 25); (1, 1), find the following relationship:

(a) Is a factor of ….

(b) Is a square root of …..

(c) Is 6 less than …..

Also, find the domain and range in each case.

13. Draw the arrow diagrams to represent the following relations.

(a) R₁ = {(3, 3); (3, 6); (3, 9); (5, 8); (6, 3)}

(b) R₂ = {(4, 10); (4, 13); (4, 16); (5, 13); (6, 16)}

(c) R₃ = {(2, 3); (3, 5); (4, 7); (5, 9); (6, 11)}

(d) R₄ = {(p, l); (p, m); (q, x); (q, n); (r, m)}

14. Represent the following relation in the roster form. Answers for worksheet on math relation are given below to make sure that the answers are correct after solving the questions.

1. (a) (a, b) # (b, a)

2. x = 2, y = 6

3. x = 3, y = 1

4. A × B = {(p, a) (p, b) (q, a) (q, b) (r, a) (r, b)} and,

B × A = {(a, p) (b, p) (a, q) (b, q) (a, r) (b, r)}.
No.

5. A = {a, b, c} B = {1, 2}

6. P × Q = {(3, 6) (3, 8) (4, 6) (4, 8) (5, 6) (5, 8)}

7. Q × P = {(2, x) (2, y) (3, x) (3, y) (6, x) (6, y)}

8. (b) (d)

9. (a) Domain {0, 4, 6, 7} Range {3, 5, 8, 9, 10}

(b) Domain = {a, b, c, d} Range {2, 3, 4}

10. R = {(14, 2) (14, 7) (25, 5) (21, 3) (21, 7) (24, 2) (24, 3) (24, 6)} 11. R = {(4, 2) (5, 3) (6, 4)} Domain {4, 5, 6} Range {2, 3, 4}

12. (a) R = {(2, 8) (3, 9) (1, 7) (4, 24) (1, 1)} Domain {2, 3, 1, 4} Range {8, 9, 7, 24, 1}

(b) R = {(3, 9) (5, 25) (1, 1} Domain {1, 3, 5} Range {1, 9, 25}

(c) R = {(2, 8) (3, 9) (1, 7)} Domain {1, 2, 3} Range {7, 8, 9}

13. 14. (a) R = {(p, l) (p, n) (q, m) (r, l) (r, t) (s, n)}

(b) R = {(2, 6) (2, 8) (3, 6) (3, 9) (4, 8) (2, 10)}

(c) R = {(1, 1) (4, 2) (9, 3) (16, 4)}

(d) R = {(10, 2) (10, 5) (12, 2) (12, 3) (12, 4) (15, 3) (15, 5) (25, 5)}

Relations and Mapping

Ordered Pair

Cartesian Product of Two Sets

Relation

Domain and Range of a Relation

Functions or Mapping

Domain Co-domain and Range of Function

Relations and Mapping - Worksheets

Worksheet on Math Relation

Worksheet on Functions or Mapping

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles 1. ### Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr

Dec 01, 23 01:16 AM

There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t…

2. ### Days of the Week | 7 Days of the Week | What are the Seven Days?

Nov 30, 23 10:59 PM

We know that, seven days of a week are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday. A day has 24 hours. There are 52 weeks in a year. Fill in the missing dates and answer the questi…